PARCC Geometry 2 — Questions and Answers
Question 1: Two triangles are similar with a scale factor of 3. If the smaller triangle has an area of 8 square units, what is the area of the larger triangle?
- 24 square units
- 72 square units (Correct answer)
- 48 square units
- 27 square units
Correct answer: 72 square units
Area scales by the square of the linear scale factor, so 8 × 3² = 72.
Question 2: A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?
- 15 (Correct answer)
- 21
- 13
- 16
Correct answer: 15
By the Pythagorean theorem, √(9² + 12²) = √225 = 15.
Question 3: What is the sum of the interior angles of a regular hexagon?
- 540°
- 720° (Correct answer)
- 900°
- 1080°
Correct answer: 720°
The sum is (n − 2) × 180° = (6 − 2) × 180° = 720°.
Question 4: A circle has a radius of 5. What is its area? (Use π ≈ 3.14)
- 31.4
- 78.5 (Correct answer)
- 157
- 25
Correct answer: 78.5
Area = πr² = 3.14 × 25 = 78.5.
Question 5: Which transformation produces a figure that is congruent to the original but reversed, like a mirror image?
- Dilation
- Reflection (Correct answer)
- Rotation by 90°
- Translation
Correct answer: Reflection
A reflection flips a figure over a line, creating a congruent mirror image.
Question 6: Two angles are complementary. If one measures 35°, what is the measure of the other?
- 145°
- 55° (Correct answer)
- 65°
- 35°
Correct answer: 55°
Complementary angles sum to 90°, so 90° − 35° = 55°.
Question 7: What is the volume of a rectangular prism with length 4, width 3, and height 5?
- 12
- 60 (Correct answer)
- 47
- 120
Correct answer: 60
Volume = length × width × height = 4 × 3 × 5 = 60.
PARCC Geometry 2
Two triangles are similar with a scale factor of 3.
If the smaller triangle has an area of 8 square units, what is the area of the larger triangle?